Let \(A_n\)  be a Laurent polynomial ring in \(n\)  variables. Then the Lie algebra of derivations of \(A_n\)  is denoted by \(W_n\)  or \(\mathrm {Der}(A_n)\)  and is called a Witt algebra. Witt algebra is a classical object and studied by many mathematicians; see [1]}, [2]}, [3]}, [4]}, [5]}
and references theirin.
Very recently, in [4]}, all the irreducible modules for \(W_n\)  with finite dimensional weight spaces have been classified by Billig and Futorny. They turn out be either uniformly bounded or “highest weight” modules.
